Item description for Canonical Metrics in Kaehler Geometry by Gang Tian...
There has been fundamental progress in complex differential geometry in the last two decades. For one, the uniformization theory of canonical KAhler metrics has been established in higher dimensions, and many applications have been found, including the use of Calabi-Yau spaces in superstring theory. The aim of this monograph is to give an essentially self-contained introduction to the theory of canonical KAhler metrics on complex manifolds. It also presents the reader with some advanced topics in complex differential geometry not easily found elsewhere. The topics include Calabi-Futaki invariants, extremal KAhler metrics, the Calabi-Yau theorem on existence of KAhler Ricci-flat metrics, and recent progress on KAhler-Einstein metrics with positive scalar curvature. Applications of KAhler-Einstein metrics to the uniformization theory are also discussed. Readers with a good general knowledge of differential geometry and partial differential equations should be able to grasp and appreciate the materials in this monograph.
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Est. Packaging Dimensions: Length: 0.5" Width: 6.75" Height: 9.5" Weight: 0.5 lbs.
Release Date Oct 2, 2000
Publisher Birkhäuser Basel
ISBN 3764361948 ISBN13 9783764361945
Availability 97 units. Availability accurate as of May 22, 2017 12:01.
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More About Gang Tian
GANG TIAN is a lecturer at the School of Economics, Faculty of Social Sciences, Flinders University in Australia.